What is the answer to |x-7|=3x+2 ?

The answer to |x-7|=3x+2 is x= 5/4

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|x-7|=3x+2

∣ x - 7 ∣ = 3 x + 2

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

∣ x - 7 ∣ = 3 x + 2

Find positive and negative intervals

x < 7, x \geq 7

Solve the inequality for each interval

x = \frac{5}{4} or No Solution

x = \frac{5}{4}

- 2 ∣ x + 1 ∣ = 4

∣ x - 3 ∣ = 6 x + 12

∣ 4 x + 7 ∣ - 4 = 16

∣ 3 x + 1 ∣ = 0

\frac{n}{3} = 3